Extremal Problems for Elliptic Systems
Part of the
International Series of Numerical Mathematics
book series (ISNM, volume 124)
The specific properties of optimal control problems for elliptic systems, if compared with the case of a single equation, are described. Within them are: strong closures of sets of feasible states; the relaxability via convexification; the type of necessary optimality conditions.
KeywordsOptimal Control Problem Extremal Problem Elliptic System Lipschitz Domain Adjoint Equation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Raitums, U.: Optimal control problems for elliptic equations
, Zinatne, Riga (1989) (in Russian).zbMATHGoogle Scholar
Raitums, U.: The maximum principle and the convexification of optimal control problems
, Control and Cybernetics, vol. 23, No 4, p. 745–760 (1994).MathSciNetzbMATHGoogle Scholar
Raitums, U.: On the minimization of quadratic functionals on the set of solutions of a family of linear equations
, Optimization, Bd. 17, No 3, p. 349–354 (1986).MathSciNetzbMATHCrossRefGoogle Scholar